What is the Least Common Multiple of 44925 and 44940?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 44925 and 44940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44925 and 44940, than apply into the LCM equation.

GCF(44925,44940) = 15
LCM(44925,44940) = ( 44925 × 44940) / 15
LCM(44925,44940) = 2018929500 / 15
LCM(44925,44940) = 134595300

Least Common Multiple (LCM) of 44925 and 44940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44925 and 44940. First we will calculate the prime factors of 44925 and 44940.

Prime Factorization of 44925

Prime Factorization of 44940

Now multiplying the highest exponent prime factors to calculate the LCM of 44925 and 44940.

LCM(44925,44940) = 3¹ × 5² × 599¹ × 2² × 7¹ × 107¹
LCM(44925,44940) = 134595300